Note that if you want to have an accurate radius calculation for good ol' earth latitudes/longitudes, you'd have to use more complicated functions than the simple pythagorean distance mentioned in the accepted answer; look for "great circle distance", as e.g. posted in another thread already; however, for your purposes, the pythagorean distance should be close enough I guess; it delivers a reasonably good approximation, except if your latitude/longitude positions are somewhere near the poles.
And, just for completeness, your problem is actually not the opposite to the question "What locations are in a certain radius around my location?" - it's the exact same, only from the other direction - but since distance calculations are symmetric, it actually doesn't matter which direction you check!